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13500304230030 = 23529167202745841
BaseRepresentation
bin1100010001110100100011…
…0101101000011010001110
31202210121122102011201122220
43010131020311220122032
53232142110340330110
644413542032320210
72562236060366052
oct304351065503216
952717572151586
1013500304230030
1143354a0870772
1216205486a3066
1376c0c4b55457
143495bd7ddc62
15186291d62370
hexc4748d6868e

13500304230030 has 128 divisors (see below), whose sum is σ = 33736073978880. Its totient is φ = 3453346498560.

The previous prime is 13500304230019. The next prime is 13500304230037. The reversal of 13500304230030 is 3003240300531.

It is a happy number.

It is a super-2 number, since 2×135003042300302 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13500304230037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 294479910 + ... + 294525750.

It is an arithmetic number, because the mean of its divisors is an integer number (263563077960).

Almost surely, 213500304230030 is an apocalyptic number.

13500304230030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13500304230030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16868036989440).

13500304230030 is an abundant number, since it is smaller than the sum of its proper divisors (20235769748850).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13500304230030 is a wasteful number, since it uses less digits than its factorization.

13500304230030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48074.

The product of its (nonzero) digits is 3240, while the sum is 24.

Adding to 13500304230030 its reverse (3003240300531), we get a palindrome (16503544530561).

The spelling of 13500304230030 in words is "thirteen trillion, five hundred billion, three hundred four million, two hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 167 174 290 334 435 501 835 870 1002 1670 2027 2505 4054 4843 5010 6081 9686 10135 12162 14529 20270 24215 29058 30405 45841 48430 58783 60810 72645 91682 117566 137523 145290 176349 229205 275046 293915 338509 352698 458410 587830 677018 687615 881745 1015527 1329389 1375230 1692545 1763490 2031054 2658778 3385090 3988167 5077635 6646945 7655447 7976334 9816761 10155270 13293890 15310894 19633522 19940835 22966341 29450283 38277235 39881670 45932682 49083805 58900566 76554470 92919707 98167610 114831705 147251415 185839414 222007963 229663410 278759121 294502830 444015926 464598535 557518242 666023889 929197070 1110039815 1332047778 1393795605 2220079630 2694671503 2787591210 3330119445 5389343006 6660238890 8084014509 13473357515 15517591069 16168029018 26946715030 31035182138 40420072545 46552773207 77587955345 80840145090 93105546414 155175910690 232763866035 450010141001 465527732070 900020282002 1350030423003 2250050705005 2700060846006 4500101410010 6750152115015 13500304230030